Demographics
If you aren't already familiar -
http://www.civfanatics.com/civ4/strategy/demographics.php
and
http://www.civfanatics.com/civ4/strategy/tech_research.php
GNP
With no Creatives about, we can make some assumptions about this.
A typical leader, like ourselves, would get 2
and 4
from palace, so subtract them from the GNP value to give total research. We are producing 12 total research, which is consistent with 8
from palace + 1
from tiles + 1 bonus, summed then multiplied by factor of 1.2 for having a prereq tech to AH.
There are two ways to reach 21: get 4
from tiles, ie city tile + a financial civ working an oasis or something and researching a tech with prereq bonus of 1.2. Or, get 2
from tiles and research AH having both prereq techs for prereq bonus of 1.4.
The rival worst of 16 is simply any civ working basic tiles and researching a tech with no prereqs.
In summary - I don't think any of this GNP stuff helps!
Mfg + Crop Yield
These are all pretty typical. Doesn't look like anyone started with preimproved tiles.
Soldiers
Lowest of 13000 and Highest of 22000 suggests there has definitely been some tinkering.
Recall, power ratings:
Techs: Archery = 6000, Hunting = 2000, Mining = 2000, Wheel = 4000, BronzeWorking = 8000.
Units: Warrior/Quechua = 2000, Archer = 3000, Bowman/Skirmisher = 4000.
All AI on emperor level start with at least Archery, Hunting and 2x Archers = 14000 minimum. The lowest AI here has 13000
The highest has 22000. Mansa Musa can reach this, as he starts with Mining + Wheel and has Skirmishers, for a total of 22000.
The rest of the bunch average out at 18000. This is typical for any AI who starts with the Wheel tech. But given its an average it could also imply Babylon is in (total of 20000) and another AI starting with Mining instead of Wheel.
So if we were to take this as fact, ignoring the anomolous 13000 for now, then we can say for sure:
1. Mansa Musa is in (what personality he has is TBD)
2. Almost all AI start with The Wheel. These Civs are Arabia, Babylon, Byzantium, Egypt (witch!), France, Japan, Mongolia, Ottoman, Sumeria.
3. At most 1 AI has neither Wheel or Mining. These civs are: Aztec, Celts, Dutch, Greece, HolyRome, Incan, NativeAmerica, Persia, Spain, Zulu.
Speculating as to the 13000 - it could be that the Wizard is just a single unit with no Settler, and has had some starting techs removed.
Land Area
As C63 notes, no border pops on Turn 3, so Creatives are unlikely (unless their on a tiny island of course).
This rules out: Catherine (witch?), Gilgamesh, Hatshepsut (witch?), Kublai Khan, Louis XIV, Pericles, Sury, WillemVO, Zara.
Approval Rate
This is real easy. Rival Best and Worst is 83%. This means only one thing.
There are No (0) Charistmatic leaders.
This rules out: Boudica, Brennus, Churchill, Cyrus, DeGaulle, Hannibal, Napoleon, Washington.
Life Expectancy
Not really anything to be learned here. Improved health could mean an Expansive leader, but just as easily that they've settled next to fresh water. None are particularly high. One poor sod has zero bonus health.
My Predictions
Based on starting with the Wheel, not CHA, not CRE, I predict the following are in the game:
Mansa Musa
Hammurabi
Justinian (Buddhist or Hindu founder?)
Tokugawa
Genghis Khan
Mehmed
Suleiman (looks a bit like a Wizard?)
+ 1 more. My guess is Isabella (Buddhist or Hindu founder?)
edit: Saladin also possible. (Buddhist or Hindu founder?)